dylan228517
dylan228517 dylan228517
  • 15-02-2021
  • Geography
contestada

Divide x² + 11x + 16 by x + 8​

Respuesta :

berno berno
  • 19-02-2021

Answer:

[tex]x^2+11x+16=(x+3)(x+8)-8[/tex]

Explanation:

Use the following (Division algorithm)

Dividend = Divisor × Quotient + Remainder

[tex]x^2+11x+16=x^2+11x+24-8\\=(x^2+8x+3x+24)-8\\=[x(x+8)+3(x+8)]-8\\=(x+3)(x+8)-8\,\,\,(i)[/tex]

Here,

Dividend = [tex]x^2+11x+16[/tex]

Divisor = [tex]x+3[/tex]

Quotient = [tex]x+8[/tex]

Remainder = [tex]-8[/tex]

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